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An Analytic Approach to The Cancellation Problem for Affine Spaces over $mathbb{C}$

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 نشر من قبل Susumu Oda
 تاريخ النشر 2006
  مجال البحث
والبحث باللغة English
 تأليف Susumu Oda




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The Cancellation Problem for Affine Spaces is settled affirmatively, that is, it is proved that : Let $ k $ be an algebraically closed field of characteristic zero and let $n, m in mathbb{N}$. If $R[Y_1,..., Y_m] cong_k k[X_1,..., X_{n+m}]$ as $k$-algebras, where $Y_1,..., Y_m, X_1,..., X_{n+m}$ are indeterminates, then $R cong_k k[X_1,..., X_n]$.



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